不动点集为P(2m，2l+1)∪P(2m，2n+1)的对合

Involutions with Fixed Point Set P(2m,2l+1)∪P(2m,2n+1)

设(M,T)是一个带有光滑对合T的光滑闭流形,T在M上的不动点集为F={x|T(x)=x,x∈M},则F为M的闭子流形的不交并.本文证明了:当F=P(2m,2l+1)■P(2m,2n+1)时,其中n>l■m,m≠1,3,(M,T)协边于零.

Let （M, T） be a smooth closed manifold with a smooth involution T whose fixed point set is F = {x｜T（x） = x, x ∈ M}, then F is the disjoint union of smooth closed submanifold of M. In this paper, we discuss： for F=P（2m,2l＋1）∪P（2m,2n＋1）, n 〉 l≥m,m≠ 1, 3, then （M, T） is bounded.